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Mathematics
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Question 2.
Determine whether each statement makes sense or does not make sense, and explain your reasoning.
Gym lockers are to be numbered from 1 through 99 using metal numbers to be nailed onto each locker. How many 7s are needed?
Unformatted Attachment Preview
48. a.
Use the properties of a magic square to fill in the missing
numbers.
96
37 45
uzzle
single
vided
ntain
Writing in Ma
In Exercises 52-5
52. If you know
find the cos
53. If you knov
was born.
54. If you kno
43
2557
23
8278
income.
55. Write you
step proce
lainks
of a division problem have
Pretonne pible They are designated below by Fill in the
1**
***14***
28
*56
word
小號 240
each
***
ther magic
*****
63. One person tells the truth on Mone
and Thursday, but lies on all others
on Tuesday, Wednesday, and Thur
all other days. If both people sta
what day of the week is it today?
64. (This logic problem dates back
farmer needs to take his goat,
stream. His boat can hold him a
goat, wolf, or cabbage). If he tak
will eat the cabbage. If he takes
the goat. Only when the farm
and goat safe from their respe
farmer get everything across
65. As in sudoku, fill in the missir
triangle so that it contains e
9 exactly once. Furthermore
contain four digits whose s
in the missing
0
Writing in Mathematics
In Exercises 52-54, explain the plan needed to solve the problem.
52. If you know how much was paid for several pounds of steak,
was born.
find the cost of one pound.
53. If you know a person's age, find the year in which that person
54. If you know how much you earn each hour, find your yearly
income.
1
55. Write your own problem that can be solved using the four-
step procedure. Then use the four steps to solve the problem.
66. Solve the sudoku puz
er in the
ated.
and the
ckover,
S, Inc.,
page 40.
quare
actly
the
67. A version of this pro
Critical Thinking Exercises
first appeared in 193
Make Sense?
receive a total bill f
In Exercises 56-59, determine whether each
and pay $10 each. T
reasoning
statement makes sense or does not make sense, and explain your
manager, who reali
should be only $25
56. Polya's four steps in problem solving make it possible for me
to return to the c
to solve any mathematical problem easily and quickly.
However, the wai
only $3 to the cu
57. I used Polya's four steps in problem solving to deal with a
customers has pa
personal problem in need of a creative solution.
a total of $29.H
the missing doll
58. I find it helpful to begin the problem-solving process by
restating the problem in my own words.
68. A firefighter se
rung of a ladd
59. When I get bogged down with a problem, there's no limit to firefighter mo
the amount of time I should spend trying to solve it.
firefighter bac
7 rungs and st
60. Gym lockers are to be numbered from 1 through 99 using
climbed the
metal numbers to be nailed onto each locker. How many 7s
How many
are needed?
69. The Republ
A, B, C, and
61. You are on vacation in an isolated town. Everyone in the
congress w
town was born there and has never left. You develop a
according
toothache and check out the two dentists in town. One
each state
dentist has gorgeous teeth and one has teeth that show the
effects of poor dental work. Which dentist should you choose POPULATION
and why?
State
62. India Jones is standing on a large rock in the middle of a
in niranhas The Population
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MATU 203 Brandman University Business Analysis of Home Sales Project
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Mastering the concepts in Introductory Statistics assists in building critical thinki ...
MATU 203 Brandman University Business Analysis of Home Sales Project
MATU-203 Final Project Instructions
Mastering the concepts in Introductory Statistics assists in building critical thinking skills, developing
businesses and organizations, and solving all types of problems that require data. But an understanding
of statistics extends beyond the ability to crunch numbers or use a software program. The ability to
collect, organize, and analyze data is the beginning. The ability to clearly communicate your results
to another person is the mark of true mastery.
The Assignment
In this assignment, you will choose a scenario with data – from one of 5 options provided at the end
of these directions under Project Topics – and you will construct a paper that pulls together the
statistics you have learned in order to answer a question. You will:
1. Introduce the main question, and explain the data that you will use to address it
2. Organize your data by providing appropriate charts, graphs and descriptive statistics
3. Analyze your data by conducting a hypothesis test
4. State your conclusions and recommendations
See the section Outline Of Material To Present below for a more detailed explanation of what you will
submit for each of these foursections.
The topics that you may choose from are
• Business – Analysis of Home Sales
• Health Sciences – The Effect of Caffeine on Heart Rate
• Psychology – The Effect of Colored Paper on Reading Speed
• Sociology – Level of Education and its Effect on Homelessness in Veterans
• Criminal Justice – Analysis of Poverty and Crime
At the end of these directions, under Project Topics, are the full descriptions for each of these 5 topic
options, including the data you must use in your analysis. Please scroll down and read through each of
these 5 options in their entirety before making your selection. You must select one of these 5 topics.
You may not select your own topic.
Outline of Material to Present
This assignment is broken down into four parts: Collection of Data, Organization of Data, Analysis of
Data, and Conclusion/Recommendations. Each part has a subset of questions and issues you must
address. Please ensure that your report includes a section for each of the 4 Parts listed below, and that
each part addresses ALL of the sub-questions listed.
Again, you must select one of the 5 topics provided at the end of these instructions in the section
Project Topics, and you must use the data and names provided within your chosen topic prompt.
Part 1: Collection of Data - Introduction and Primary Data Analysis(3 – 5 paragraphs):
1. Describe the objective: Before you can examine the data, you must understand the problem.
a. Discuss the importance of this issue or situation.
b. Introduce the company or organization you are preparing this report for, and explain
why it is important to them.
c. What is the research question? In other words, what is the basic question you, as the
researcher, want to address? Why should we care about it?
d. Was this an experimental or observational study? Explain.
2. Clearly and with sufficient detail, describe the population, sample, and collection methods in
this study.
a. What is the population you are interested in?
b. What is the sample, specifically?
c. What is a plausible way the sample was chosen and why?
d. What problems or biases might have occurred from choosing that type of sampling
method?
3. Discuss the type of data.
a. Was the data quantitative or qualitative? Explain.
b. What is the level of measurement (nominal, ordinal, interval and ratio)? Explain.
4. Describe the variables
a. What are the independent and dependent variables? Give the type, units, and more
specific information.
b. Give examples of any confounding variables, lurking variables, and/or missing variables
and explain how they may be affecting your study.
Part 2: Organization of Data - Examination of Descriptive Statistics (graphs and tables, and
approximately 4 paragraphs)
Now that your data is collected, you need to organize it to identify characteristics and patterns.
1. Graph your data appropriately. Construct a scatterplot, bar graph, or other graph to show
the nature of the data. For each graph, be sure you label the graph completely – that means
give it a title, label the axes, and explain what that graph means in the context of this
narrative.
2. Discuss whether the data is normally distributed. For this, use a visual inspection of a
Histogram and Normal Quantile Plot, as well as what you see in the data itself and what that
means about the high and low ends of the data.
3. Calculate and present the three Measures of Central Tendency: mean, median, and mode.
Provide both the value of the statistics as well as an analysis of what they mean in terms of
understanding the sample.
4. Calculate and present the Measures of Variation: range and standard deviation. Provide both
the value of the statistics as well as an analysis of what they mean in terms of understanding
the sample.
5. Calculate and present the 5-Number Summary: minimum, Q1, median, Q3, maximum.
Provide both the value of the statistics as well as an analysis of what they mean in terms of
understanding the sample.
6. Identify any Outliers. You can do this using a visual inspection of the graph as well as the
formulas from the textbook (HINT: Q1 - 1.5*IQR, and Q3 + 1.5*IQR).
7. Discuss any corrections: Based on your inspection of the outliers are there any errors that
should be corrected? How would you correct them? Discuss the implications of this result.
Part 3: Analysis of Data - Examination of Inferential Statistics (tables of results, and appropriate
hypothesis test steps)
Assuming that all assumptions have been met, it is now time to analyze the data. Present a complete
hypothesis test.
1. Identify the claim.
2. State the null and alternative hypotheses, in words and in symbolic form.
3. Explain what type of test you will be performing (i.e. a test of two dependent means, a test for
correlation, etc.) and why that test is appropriate to address the main question you are trying to
answer.
4. Select the significance level and determine if it is a one or two-tailed test.
5. Identify the test statistic and compute the value of the test statistic and the p-value.
6. Make a decision of whether to Reject or Fail to Reject the null hypothesis.
7. Restate your decision in nontechnical terms. That means, state your conclusion in a way that
anyone can understand; a final conclusion that just says “reject the null hypothesis” by itself
without explanation is not helpful to those who hired you. Explain in ordinary terms what it
means.
Part 4: Conclusion and Recommendations (approximately 3 paragraphs)
Summarize and explain your results. Provide recommendations.
1. What can you infer from the statistics?
2. What information might lead you to a different conclusion?
3. What variables are missing?
4. What additional information would be valuable to help draw a more certain conclusion?
5. What qualitative or quantitative data would you want to collect if you were hired to do a follow
up study?
Formatting Requirements
Your paper should be a Word document, with embedded charts, graphs, figures, and tables. It should
be APA or MLA Format, with name and page number on each page, and should include each of the
following:
1. Title page: You should have a cover page. The cover page should have the specific title of your
study (Note: “MATU 203 Paper” does not clearly define the topic you are presenting), your
name, Brandman University, MATU 203, term, and year. You might find it helpful to include an
image of something representative of the study to provide a visual context for your report.
2. Write Up/Body: The body should be 5 - 8 pages with graphs, images, screen shots of data
output, and text included. Please use a “page break” to separate the cover from the body
and the references from the body and the appendices from the reference page.
3. References: Please include all articles, books, websites, publications, or other information
that helped you reach your conclusion. The references come after the main body and before
the appendix. At least two references are required, not including the textbook.
4. Appendices: You must have an appendix. The appendix goes at the end of your paper and
might be an additional 1-2 pages. In the appendix, include your given data as well as
supplemental charts and graphs outside of the ones included in your paper. Label the
appendices, Appendix 1, Appendix 2, and so on.
Scenario Analysis, statistics homework help
Scenario:The owner of a small printing
company is considering the purchase of additional printing equipment to expand
he ...
Scenario Analysis, statistics homework help
Scenario:The owner of a small printing
company is considering the purchase of additional printing equipment to expand
her business. If the owner expands the business and sales are high, projected
profits (minus the cost of the equipment) should be $90,000; if sales are low,
projected profits should be $40,000. If the equipment is not purchased,
projected profits should be $70,000 if sales are high and $50,000 if sales are
low.
Are there options other than the purchase of additional
equipment that should be considered in making the decision to expand the
business?
If the owner is optimistic about the company’s future
sales, should the company expand by purchasing the equipment?
Is the owner’s optimism or pessimism about sales the
only factor that may impact the company’s profits?
The equipment to be purchased is known in the industry
to have a useful life of five years. How might this impact the printing
company?
For additional details, please refer
to the Scenario Analysis Guidelines and Rubric document in the Assignment
Guidelines and Rubrics section of the course.Specifically, the following critical
elements must be addressed:·Main Element·Integration and Application·Analysis·Critical ThinkingGuidelines for Submission: Your
analysis of the scenario must be submitted as a 1-to 2- Page Microsoft Word
document with double spacing and 12-point Times New Roman font.
4 pages
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Variables And Scales Of Measurement
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There are four levels of measurement: 1) nominal, 2) ordinal, 3) interval and 4) ratio. The nominal scales are the crudest of measurement, and there ...
MATU 203 Brandman University Business Analysis of Home Sales Project
MATU-203 Final Project Instructions
Mastering the concepts in Introductory Statistics assists in building critical thinki ...
MATU 203 Brandman University Business Analysis of Home Sales Project
MATU-203 Final Project Instructions
Mastering the concepts in Introductory Statistics assists in building critical thinking skills, developing
businesses and organizations, and solving all types of problems that require data. But an understanding
of statistics extends beyond the ability to crunch numbers or use a software program. The ability to
collect, organize, and analyze data is the beginning. The ability to clearly communicate your results
to another person is the mark of true mastery.
The Assignment
In this assignment, you will choose a scenario with data – from one of 5 options provided at the end
of these directions under Project Topics – and you will construct a paper that pulls together the
statistics you have learned in order to answer a question. You will:
1. Introduce the main question, and explain the data that you will use to address it
2. Organize your data by providing appropriate charts, graphs and descriptive statistics
3. Analyze your data by conducting a hypothesis test
4. State your conclusions and recommendations
See the section Outline Of Material To Present below for a more detailed explanation of what you will
submit for each of these foursections.
The topics that you may choose from are
• Business – Analysis of Home Sales
• Health Sciences – The Effect of Caffeine on Heart Rate
• Psychology – The Effect of Colored Paper on Reading Speed
• Sociology – Level of Education and its Effect on Homelessness in Veterans
• Criminal Justice – Analysis of Poverty and Crime
At the end of these directions, under Project Topics, are the full descriptions for each of these 5 topic
options, including the data you must use in your analysis. Please scroll down and read through each of
these 5 options in their entirety before making your selection. You must select one of these 5 topics.
You may not select your own topic.
Outline of Material to Present
This assignment is broken down into four parts: Collection of Data, Organization of Data, Analysis of
Data, and Conclusion/Recommendations. Each part has a subset of questions and issues you must
address. Please ensure that your report includes a section for each of the 4 Parts listed below, and that
each part addresses ALL of the sub-questions listed.
Again, you must select one of the 5 topics provided at the end of these instructions in the section
Project Topics, and you must use the data and names provided within your chosen topic prompt.
Part 1: Collection of Data - Introduction and Primary Data Analysis(3 – 5 paragraphs):
1. Describe the objective: Before you can examine the data, you must understand the problem.
a. Discuss the importance of this issue or situation.
b. Introduce the company or organization you are preparing this report for, and explain
why it is important to them.
c. What is the research question? In other words, what is the basic question you, as the
researcher, want to address? Why should we care about it?
d. Was this an experimental or observational study? Explain.
2. Clearly and with sufficient detail, describe the population, sample, and collection methods in
this study.
a. What is the population you are interested in?
b. What is the sample, specifically?
c. What is a plausible way the sample was chosen and why?
d. What problems or biases might have occurred from choosing that type of sampling
method?
3. Discuss the type of data.
a. Was the data quantitative or qualitative? Explain.
b. What is the level of measurement (nominal, ordinal, interval and ratio)? Explain.
4. Describe the variables
a. What are the independent and dependent variables? Give the type, units, and more
specific information.
b. Give examples of any confounding variables, lurking variables, and/or missing variables
and explain how they may be affecting your study.
Part 2: Organization of Data - Examination of Descriptive Statistics (graphs and tables, and
approximately 4 paragraphs)
Now that your data is collected, you need to organize it to identify characteristics and patterns.
1. Graph your data appropriately. Construct a scatterplot, bar graph, or other graph to show
the nature of the data. For each graph, be sure you label the graph completely – that means
give it a title, label the axes, and explain what that graph means in the context of this
narrative.
2. Discuss whether the data is normally distributed. For this, use a visual inspection of a
Histogram and Normal Quantile Plot, as well as what you see in the data itself and what that
means about the high and low ends of the data.
3. Calculate and present the three Measures of Central Tendency: mean, median, and mode.
Provide both the value of the statistics as well as an analysis of what they mean in terms of
understanding the sample.
4. Calculate and present the Measures of Variation: range and standard deviation. Provide both
the value of the statistics as well as an analysis of what they mean in terms of understanding
the sample.
5. Calculate and present the 5-Number Summary: minimum, Q1, median, Q3, maximum.
Provide both the value of the statistics as well as an analysis of what they mean in terms of
understanding the sample.
6. Identify any Outliers. You can do this using a visual inspection of the graph as well as the
formulas from the textbook (HINT: Q1 - 1.5*IQR, and Q3 + 1.5*IQR).
7. Discuss any corrections: Based on your inspection of the outliers are there any errors that
should be corrected? How would you correct them? Discuss the implications of this result.
Part 3: Analysis of Data - Examination of Inferential Statistics (tables of results, and appropriate
hypothesis test steps)
Assuming that all assumptions have been met, it is now time to analyze the data. Present a complete
hypothesis test.
1. Identify the claim.
2. State the null and alternative hypotheses, in words and in symbolic form.
3. Explain what type of test you will be performing (i.e. a test of two dependent means, a test for
correlation, etc.) and why that test is appropriate to address the main question you are trying to
answer.
4. Select the significance level and determine if it is a one or two-tailed test.
5. Identify the test statistic and compute the value of the test statistic and the p-value.
6. Make a decision of whether to Reject or Fail to Reject the null hypothesis.
7. Restate your decision in nontechnical terms. That means, state your conclusion in a way that
anyone can understand; a final conclusion that just says “reject the null hypothesis” by itself
without explanation is not helpful to those who hired you. Explain in ordinary terms what it
means.
Part 4: Conclusion and Recommendations (approximately 3 paragraphs)
Summarize and explain your results. Provide recommendations.
1. What can you infer from the statistics?
2. What information might lead you to a different conclusion?
3. What variables are missing?
4. What additional information would be valuable to help draw a more certain conclusion?
5. What qualitative or quantitative data would you want to collect if you were hired to do a follow
up study?
Formatting Requirements
Your paper should be a Word document, with embedded charts, graphs, figures, and tables. It should
be APA or MLA Format, with name and page number on each page, and should include each of the
following:
1. Title page: You should have a cover page. The cover page should have the specific title of your
study (Note: “MATU 203 Paper” does not clearly define the topic you are presenting), your
name, Brandman University, MATU 203, term, and year. You might find it helpful to include an
image of something representative of the study to provide a visual context for your report.
2. Write Up/Body: The body should be 5 - 8 pages with graphs, images, screen shots of data
output, and text included. Please use a “page break” to separate the cover from the body
and the references from the body and the appendices from the reference page.
3. References: Please include all articles, books, websites, publications, or other information
that helped you reach your conclusion. The references come after the main body and before
the appendix. At least two references are required, not including the textbook.
4. Appendices: You must have an appendix. The appendix goes at the end of your paper and
might be an additional 1-2 pages. In the appendix, include your given data as well as
supplemental charts and graphs outside of the ones included in your paper. Label the
appendices, Appendix 1, Appendix 2, and so on.
Scenario Analysis, statistics homework help
Scenario:The owner of a small printing
company is considering the purchase of additional printing equipment to expand
he ...
Scenario Analysis, statistics homework help
Scenario:The owner of a small printing
company is considering the purchase of additional printing equipment to expand
her business. If the owner expands the business and sales are high, projected
profits (minus the cost of the equipment) should be $90,000; if sales are low,
projected profits should be $40,000. If the equipment is not purchased,
projected profits should be $70,000 if sales are high and $50,000 if sales are
low.
Are there options other than the purchase of additional
equipment that should be considered in making the decision to expand the
business?
If the owner is optimistic about the company’s future
sales, should the company expand by purchasing the equipment?
Is the owner’s optimism or pessimism about sales the
only factor that may impact the company’s profits?
The equipment to be purchased is known in the industry
to have a useful life of five years. How might this impact the printing
company?
For additional details, please refer
to the Scenario Analysis Guidelines and Rubric document in the Assignment
Guidelines and Rubrics section of the course.Specifically, the following critical
elements must be addressed:·Main Element·Integration and Application·Analysis·Critical ThinkingGuidelines for Submission: Your
analysis of the scenario must be submitted as a 1-to 2- Page Microsoft Word
document with double spacing and 12-point Times New Roman font.
4 pages
MA215 Grantham Week 1 Business Statistics Quiz Help
The collection of all elements of interest in a particular study is A portion of the population selected to represent the ...
MA215 Grantham Week 1 Business Statistics Quiz Help
The collection of all elements of interest in a particular study is A portion of the population selected to represent the population is called
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